Angel wants to prove that the measures of the 3 angles in a triangle always have a sum of 180°. He decided to prove this conjecture using rigid motion. He began with triangle ABC shown in Figure 1. Figure 1 Figure 2 Which statement best describes the rigid motion she used in Figure 2 to support his proof?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Angel wants to prove that the measures of the 3 angles in a triangle always have a sum of 180°. He decided to prove this conjecture using
rigid motion. He began with triangle ABC shown in Figure 1.
Figure 1
Figure 2
Which statement best
describes the rigid motion she
used in Figure 2 to support his
proof?
Complete each of the 2 activities for this Task.
Activity 1 of 2
Which statement best describes the rigid motion she used in Figure 2 to support his proof?
O A. Reflect triangle ABC across AB and across AC.
DVO
%23
&
3
4
6.
8
е
f
h
V
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m
6.0
C.
Transcribed Image Text:Angel wants to prove that the measures of the 3 angles in a triangle always have a sum of 180°. He decided to prove this conjecture using rigid motion. He began with triangle ABC shown in Figure 1. Figure 1 Figure 2 Which statement best describes the rigid motion she used in Figure 2 to support his proof? Complete each of the 2 activities for this Task. Activity 1 of 2 Which statement best describes the rigid motion she used in Figure 2 to support his proof? O A. Reflect triangle ABC across AB and across AC. DVO %23 & 3 4 6. 8 е f h V b m 6.0 C.
Complete each of the 2 activities for this Task.
Activity 1 of 2
Which statement best describes the rigid motion she used in Figure 2 to support his proof?
O A. Reflect triangle ABC across AB and across AC.
B. Rotate triangle ABC 180° about the midpoint of AB and about the midpoint of AC.
C. Translate triangle ABC along directed line segment AD and along directed line segment AE.
O D. Reflect triangle ABC across AB and then translate the image along directed line segment DE.
Activity 2 of 2
ovo
23
2$
&
3
4
5
6
e
r
d
h
C
V
b
Transcribed Image Text:Complete each of the 2 activities for this Task. Activity 1 of 2 Which statement best describes the rigid motion she used in Figure 2 to support his proof? O A. Reflect triangle ABC across AB and across AC. B. Rotate triangle ABC 180° about the midpoint of AB and about the midpoint of AC. C. Translate triangle ABC along directed line segment AD and along directed line segment AE. O D. Reflect triangle ABC across AB and then translate the image along directed line segment DE. Activity 2 of 2 ovo 23 2$ & 3 4 5 6 e r d h C V b
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